If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be
velocity if a = 1, b = 0, c = – 1
acceleration if a = 1, b = 1, c = – 2
force if a = 0, b = – 1, c = – 2
pressure if a = 1, b = –1, c = –2
Pressure,
P= force area = mass × acceleration area ∴[P]=M1LT−2L2=M1L−1T−2=MaLbTc.∴ a=1,b=−1,c=−2.